The figure shows a uniform beam of mass m pivoted at its lower end, with a horizontal spring attached between its top end and a vertical wall. The beam makes an angle 𝜃 with the horizontal.

A beam of mass m is angled up and to the right at an angle of 𝜃 above the horizontal ground. The beam is attached at its lower end to a pivot that allows it to rotate about an axis that points out of the page. The right side of a spring labeled k is attached to the free end of the beam, and the spring extends leftward, fixed to a vertical wall at its left end. (a) Find an expression for the distance d the spring is stretched from equilibrium. (Use any variable or symbol stated above along with the following as necessary: k and g.)
d =       

(b) Find expressions for the components of the force exerted by the pivot on the beam. (Use the following as necessary: m, k, g, and 𝜃. Assume the positive x-direction is to the right and the positive y-direction is upward.)

A uniform beam of length L and mass M has its lower end pivoted at P on the floor, making an angle 6 with the floor. A horizontal cable is attached at

Part (c) Write an expression for the x-component Pr of the force exerted by the pivot on the beam in terms of T  its upper end B to a point A on a wall. A box of mass Mis suspended from a rope that is attached to the beam one-fourth L from its upper end.

Part (d) What is the tension in the horizontal cable, in newtons. if the mass of the beam is 38 kg, the length of the beam is 13 m, and the angle is 37⁰?

A uniform beam of length Land mass M has its lower end pivoted at P on the floor, making an angleθwith the floor. A horizontal cable is attached at its upper-end B to a point A on a wall. A box of mass M is suspended from a rope that is attached to the beam one­fourthLfrom its upper end

Write an expression for the y­-component Py of the force exerted by the pivot on the beam.

A uniform beam of length L and mass M has its lower end pivoted at P on the floor, making an angle θ with the floor. A horizontal cable is attached at its upper end B to a point A on a wall. A box of mass M is suspended from a rope that is attached to the beam one-fourth L from its upper end. 

a)Write an expression for the tension T in the horizontal cable AB.

b)What is the tension in the horizontal cable, in newtons, if the mass of the beam is 48 kg, the length of the beam is 15 m, and the angle is 22°?